11463252192 has 240 divisors, whose sum is σ = 38654098560. Its totient is φ = 3264613632.

The previous prime is 11463252191. The next prime is 11463252193. The reversal of 11463252192 is 29125236411.

11463252192 is a `hidden beast` number, since 1 + 1 + 4 + 632 + 5 + 2 + 19 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (11463252191) and next prime (11463252193).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11463252191) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6875743 + ... + 6877409.

It is an arithmetic number, because the mean of its divisors is an integer number (161058744).

Almost surely, 2^11463252192 is an apocalyptic number.

11463252192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11463252192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19327049280).

11463252192 is an abundant number, since it is smaller than the sum of its proper divisors (27190846368).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11463252192 is a wasteful number, since it uses less digits than its factorization.

11463252192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2075 (or 2058 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The spelling of 11463252192 in words is "eleven billion, four hundred sixty-three million, two hundred fifty-two thousand, one hundred ninety-two".